34825328 has 40 divisors (see below), whose sum is σ = 71818320. Its totient is φ = 16312320.

The previous prime is 34825321. The next prime is 34825337. The reversal of 34825328 is 82352843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34825321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28898 + ... + 30078.

It is an arithmetic number, because the mean of its divisors is an integer number (1795458).

Almost surely, 2^34825328 is an apocalyptic number.

34825328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34825328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35909160).

34825328 is an abundant number, since it is smaller than the sum of its proper divisors (36992992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34825328 is a wasteful number, since it uses less digits than its factorization.

34825328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1299 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 34825328 is about 5901.2988400860. The cubic root of 34825328 is about 326.5615673745.

It can be divided in two parts, 34825 and 328, that added together give a palindrome (35153).

The spelling of 34825328 in words is "thirty-four million, eight hundred twenty-five thousand, three hundred twenty-eight".